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策略一去掉绝对值符号根据绝对值的基本性质去掉绝对值符号,是解决绝对值问题的常用策略方法.例1三个有理数a、b、c的积是负数,它们的和是正数,且x=|a|/a+|b|/b+|c|/c时,求代数式-x~(2016)+2x+2016的值.分析由三个有理数a、b、c的积是负数,它们的和是正数,确定出负因数的个数,然后可以把x=|a|/a+|b|/b+|c|/c中的绝对值去掉,求出x,再代入代数式求值.
The first strategy to get rid of the absolute value of the symbol based on the absolute nature of the absolute value of the symbol removed, is to solve the absolute value of the common strategy. Example 1 The three rational numbers a, b, c product is negative, their sum is positive, and x Find the value of the algebraic formula -x ~ (2016) + 2x + 2016 when we have a = a / a + b / b + | c | / c. Analyze the difference between the product of the three rational numbers a, b, And is a positive number, determine the number of negative factors, and then you can remove the absolute value of x = | a | / a + | b | / b + | c | / c, find x, and then substituted algebraic evaluation.